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\frac{1}{4}x=x-600
Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
\frac{1}{4}x-x=-600
Subtract x from both sides.
-\frac{3}{4}x=-600
Combine \frac{1}{4}x and -x to get -\frac{3}{4}x.
x=-600\left(-\frac{4}{3}\right)
Multiply both sides by -\frac{4}{3}, the reciprocal of -\frac{3}{4}.
x=\frac{-600\left(-4\right)}{3}
Express -600\left(-\frac{4}{3}\right) as a single fraction.
x=\frac{2400}{3}
Multiply -600 and -4 to get 2400.
x=800
Divide 2400 by 3 to get 800.